| Brianchon定理在二次曲线外切2n边形中的推广 |
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| 引用本文： | 喻德生.Brianchon定理在二次曲线外切2n边形中的推广[J].数学的实践与认识,2007,37(13):109-113. |
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| 作者姓名： | 喻德生 |
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| 作者单位： | 南昌航空大学,数学与信息科学学院,南昌,330063 |
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| 基金项目： | 国家自然科学基金;南昌航空工业学院校科研和教改项目 |
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| 摘 要： | 利用有向面积方法,对二次曲线外切2n边形(n≥2)进行研究,得到二次曲线外切2n边形(n≥2)中有向面积的几个定值定理及其推论,从而把射影几何中著名的Brianchon定理推广到二次曲线外切2n边形的情形.
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| 关 键 词： | 二次曲线外切2n边形 (有向)面积 定值 Brianchon定理 |
| 修稿时间： | 2005年1月6日 |
Generalizations for Brianchon Theorems in Second-order Curve Circumscribed Polygons with 2n Sides |
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| YU De-sheng.Generalizations for Brianchon Theorems in Second-order Curve Circumscribed Polygons with 2n Sides[J].Mathematics in Practice and Theory,2007,37(13):109-113. |
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| Authors: | YU De-sheng |
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| Abstract: | Using the fixed value method of directed areas,we research the second-order curve circumscribed polygons with 2n-sides thoroughly.We obtain some fixed value theorems for directed areas in second-order curves circumscribed polygons with 2n-sides,and thus deduce some concurrent results,including the famous Brianchon theorems for second-order curves circumscribed hexagons and quadrilaterals easily. |
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| Keywords: | second-order curves circumscribed polygons with 2n-sides (directed) area fixed value concurrent |
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